Question

dicuss the nature of the solution of the following system of equation 2y+z=3(x+1);-x+3y-z=-4;3x+2y+z=-1by 2​

Answer 1

Answer:

(i) x + 2y – z = 6 … (1) -3x – 2y + 5z = -12 … (2) x – 2z = 3 … (3) We see that the system has an infinite number of solutions. (ii) 2y + z = 3(-x + 1); -x + 3y – z = -4; 3x + 2y + z = – 1/2 2y + z + 3x = 3 ⇒ 3x + 2y + z = 3 ... (1) -x + 3y – z = -4 … (2) 3x + 2y + z = – 1/2 … (3) This is a contradiction. This means the system is inconsistent and has no solutions. (iii) (y + z)/4 = (z + x)/3 = (x + y)/2; x + y + z = 27 Read more on Sarthaks.com - https://www.sarthaks.com/938443/discuss-the-nature-of-solutions-of-the-following-system-of-equations-i-x-2y-z-6-3x-2y-5z-12-x-2z

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